8178114960 has 240 divisors, whose sum is σ = 29013523968. Its totient is φ = 2061158400.

The previous prime is 8178114941. The next prime is 8178114961. The reversal of 8178114960 is 694118718.

It is a happy number.

8178114960 is a `hidden beast` number, since 81 + 7 + 81 + 1 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8178114961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955500 + ... + 964020.

Almost surely, 2^8178114960 is an apocalyptic number.

8178114960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8178114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506761984).

8178114960 is an abundant number, since it is smaller than the sum of its proper divisors (20835409008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8178114960 is a wasteful number, since it uses less digits than its factorization.

8178114960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8605 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 8178114960 is about 90432.9307276945. The cubic root of 8178114960 is about 2014.7340999263.

The spelling of 8178114960 in words is "eight billion, one hundred seventy-eight million, one hundred fourteen thousand, nine hundred sixty".